Linear Equation Word Problems - Name the TYPE

You are buying flower bundles and have $24 to spend. Rose bundles cost $4. Tulip bundles cost $6. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Standard form: used when you are given 2 different objects.

The two objects are Rose Bundles and Tulip Bundles.

An average Boeing 737 airplane weighs about 90,000 pounds. Each gallon of gas added into the fuel tank weighs 6 pounds. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Slope-Intercept Form: has a rate of change (m) and an initial value (b).

Rate of change: 6 pounds

Initial Value: 90,000 pounds

Jensen is spending the same amount of money daily. After 14 days, he has $114.75 left. After 25 days, he only has $68. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Two Points: Given TWO sample points.

In the problem, your two sample points are:

(14, 114.75) and (25, 68).

Hudson received $120 in birthday money. He deposited it into a saving account, and will add $8 every week after that. There is a no interest earned in this account. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Slope-Intercept Form: given a rate of change (m) and an initial value (b).

Rate of change: 8

Initial value: 120

Ashlyn burns 150 calories per hour while she works in her tumbling class. After 90 minutes in her class, she had burned 1250 calories for the day. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Point-Slope Form: given a sample point (x,y) and a rate of change (m).

In the problem:

Rate of change: 150

Sample points: (90, 1250)

Andrew is the NJHS treasurer, so he is in charge of preparing the budget for the class field trip to a college campus. While at the campus, you can rent motorized scooters for $24 and bicycles for $15. Andrew has a budget of $360 to spend. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Standard Form: given 2 different objects

In this problem, the 2 objects are motorized scooters and bicycles.

An excavation team is digging for artifacts. The team was at 30 meters below sea level when they began digging. The tool they use can dig 2.5 meters per minute. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Slope-Intercept Form: given a rate of change (m) and an initial value (b).

In this problem:

Rate of change: -2.5

Initial Value: -30

Tyler went on a hot air balloon ride. He was tracking the altitude as the ride began. After 6 minutes they were 62 meters in the air. After 15 minutes, they were 146 meters in the air. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Two Points: given 2 sample points

In this problem, the two sample points are:

(6, 62) and (15, 146).

An internet service provider charges $48 per month. After using the services for 8 months, Miss Disler paid a total of $449. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Point-Slope Form: given a sample point (x,y) and a rate of change (m).

In this problem:

Rate of change: 48

Sample Point: (8, 449)

At the Alabama State Fair, you decide to buy treats for your friends. The concession stand you’re at sells churros for $4.50 and funnel cakes for $6. You paid a total of $72. Which TYPE of Linear Equation is this?

• Slope-Intercept Form

• Standard Form

• Point-Slope Form

• Two Points

Answer explanation

Standard Form: given 2 different objects

In this problem, the two objects are churros and funnel cakes.